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The mode-coupling theory of the glass transition predicts the time evolution of the intermediate scattering functions in viscous liquids on the sole basis of the structural information encoded in two-point density correlations. We provide a…

Statistical Mechanics · Physics 2010-10-01 Ludovic Berthier , Gilles Tarjus

The liquidus temperature is an important parameter in understanding the crystalline behavior of materials and in the operation of blast furnaces. Its modeling can be carried out by linear and nonlinear methods through data, considering the…

Materials Science · Physics 2023-07-24 Patrick dos Anjos , Lucas A. Quaresma , Marcelo L. P. Machado

Computer simulation is an important tool for scientific progress, especially when lab experiments are either extremely costly and difficult or lack the required resolution. However, all of the simulation methods come with limitations. In…

Fluid Dynamics · Physics 2023-08-04 Edward R. Smith , Panagiotis E. Theodorakis

Mode coupling theory (MCT) has had notable successes in addressing the rheology of hard-sphere colloidal glasses, and also soft colloidal glasses such as star-polymers. Here, we explore the properties of a recently developed MCT-based…

Soft Condensed Matter · Physics 2012-03-30 Th. Voigtmann , J. M. Brader , M. Fuchs , M. E. Cates

The well-known Wall theorem states a simple and precise relation among temperature, pressure and density of a fluid at contact with a confining hard wall in thermodynamic equilibrium. In this Letter we develop an extension of the Wall…

Statistical Mechanics · Physics 2019-10-23 Ignacio Urrutia , Ivan Paganini , Claudio Pastorino

Many molecular theories of nematic liquid crystals consider the constituent molecules as cylindrically symmetric. In many cases, this approximation may be useful. However the molecules of real nematics have lower symmetry. Therefore a…

Statistical Mechanics · Physics 2007-05-23 Ozhan Kayacan

Molecular dynamics (MD) is a widely-used tool for simulating the molecular and materials properties. It is a common wisdom that molecular dynamics simulations should obey physical laws and, hence, lots of effort is put into ensuring that…

Chemical Physics · Physics 2023-08-23 Lina Zhang , Yi-Fan Hou , Fuchun Ge , Pavlo O. Dral

Constant potential method molecular dynamics simulation (CPM MD) enables the accurate modelling of atomistic electrode charges when studying the electrode-electrolyte interface at the nanoscale. Here we extend the theoretical framework of…

Materials Science · Physics 2023-05-26 Shern Ren Tee , Debra J. Searles

Mode-coupling theory (MCT) constitutes one of the few first-principles-based approaches to describe the physics of the glass transition, but the theory's inherent approximations compromise its accuracy in the activated glassy regime. Here…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

A broad variety of liquids conform to density scaling: relaxation times expressed as a function of the ratio of temperature to density, the latter raised to a material constant {\gamma}. For atomic liquids interacting only through simple…

Soft Condensed Matter · Physics 2019-06-26 D. Fragiadakis , C. M. Roland

The approach to the ergodic limit in Monte Carlo simulations is studied using both analytic and numerical methods. With the help of a stochastic model, a metric is defined that enables the examination of a simulation in both the ergodic and…

Chemical Physics · Physics 2009-11-06 J. P. Neirotti , D. L. Freeman , J. D. Doll

Numerical solutions of the mode-coupling theory (MCT) equations for a hard-sphere fluid confined between two parallel hard walls are elaborated. The governing equations feature multiple parallel relaxation channels which significantly…

Soft Condensed Matter · Physics 2020-08-05 Gerhard Jung , Michele Caraglio , Lukas Schrack , Thomas Franosch

We developed a new physical model to predict macroscopic properties of inorganic molten systems using a realistic description of inter-atomic interactions. Unlike the conventional approach, which tends to overestimate viscosity by several…

Materials Science · Physics 2015-06-04 Vitaly V. Chaban , Yuriy V. Pereverzev , Oleg V. Prezhdo

A simple tight-coupling model of a molecular chemical engine is proposed. The efficiency of the chemical engine and its average velocity can be explicitly calculated. The diffusion constant is evaluated approximately using the fluctuation…

Statistical Mechanics · Physics 2009-11-11 Hidetsugu Sakaguchi

Using the isothermal molecular dynamics (MD), coalescence/sintering of Au nanoparticles (NPs) was simulated by employing the Nose-Hoover thermostat. The MD simulation was realized by using the well-known open program LAMMPS, its version for…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 V. V. Puytov , I. V. Talyzin , V. M. Samsonov

Most computer simulations of molecular dynamics take place under equilibrium conditions--in a closed, isolated system, or perhaps one held at constant temperature or pressure. Sometimes, extra tensions, shears, or temperature gradients are…

Statistical Mechanics · Physics 2022-05-25 Alex Albaugh , Todd R. Gingrich

Thermodynamic uncertainty relations (TURs) relate precision to the dissipation rate, yet the inequalities can be far from saturation. Indeed, in catenane molecular motor simulations, we record precision far below the TUR limit. We further…

Statistical Mechanics · Physics 2026-01-14 Alex Albaugh , Rueih-Sheng Fu , Geyao Gu , Todd R. Gingrich

Uncertainty quantification (UQ) in Large Language Models (LLMs) is essential for their safe and reliable deployment, particularly in critical applications where incorrect outputs can have serious consequences. Current UQ methods typically…

Computation and Language · Computer Science 2025-04-10 Nicola Cecere , Andrea Bacciu , Ignacio Fernández Tobías , Amin Mantrach

The mode-coupling theory of the glass transition (MCT) has been at the forefront of fundamental glass research for decades, yet the theory's underlying approximations remain obscure. Here we quantify and critically assess the effect of each…

Statistical Mechanics · Physics 2023-11-29 I. Pihlajamaa , V. E. Debets , C. C. L. Laudicina , L. M. C. Janssen

Driven by the Beam Energy Scan (BES) program at the RHIC, researches and discussions on the QCD phase diagram have flourished recently. In order to provide a reference from microscopic transport models, we performed a systematic analysis,…

High Energy Physics - Phenomenology · Physics 2014-09-04 N. Yu , F. Liu , K. Wu
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